I believe the latest OpenOffice may still be in testing. If you don't find it doing the search lagagnon recommended you'll have to do one additional step:
Click on Edit --> Preferences
Click on the Sources tab
Make sure Patches and Testing (third and fourth boxes down) are checked
Click on the Update icon
That will enable the additional repositories. Then do exactly as lagagnon suggested again.
Once you're done go back into Sources and disable testing. You don't want to do system upgrades with testing enabled as this can cause breakage.
eMachines EL-1300G desktop, 1.6GHz AMD Athlon 2650e CPU, 4GB RAM, nVidia GeForce 6150 SE video
CentOS 6.5 (will try VL64-7.1 soon)
Toshiba Satellite A135-S4727, Intel Pentium T2080 / 1.73 GHz, 2GB RAM, Intel GMA 950
HP Mini 110 netbook, 1.6GHz Intel Atom CPU, 2GB RAM, Intel 950 video, VL 7.1